Fault-Tolerant Stabilization in Discrete-Time Multiple-Integrator Networks with General Information Sharing

The paper considers a network of agentswith identical discrete-timemultiple-integrator dynamics. The agents share information according to an arbitrary topology. The information is relative to the states corresponding to some of the highest integration levels.With reference to this setting, a decentralized stabilization problem is faced, under the further assumption that faults may occur in the communication apparatus of one or several of the agents. A necessary and sufficient solvability condition is presented for the problem, together with formulas for a class of least-order regulators.